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空时联合处理分辨性能下界的研究

Study on Resolution Limit of Space-Time 2-D Joint Processing
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摘要 针对相控阵雷达阵列天线空时快拍数据模型,研究空时二维联合分辨下界(STJRL,简称联合下界).从检测理论出发,采用最小错误概率准则,给出了联合下界关于信噪比、空时信号波形、分辨概率的表达式.联合下界表达式与一维分辨下界比较表明空时二维联合分辨充分利用了回波信号在空间频率和多普勒频率上的二维差异,分辨性能优于一维分辨.通过Monte Carlo仿真比较了空时联合分辨下界和信息论准则方法(AIC)、最小描述长度方法(MDL)得到的实验分辨性能,结果表明AIC与MDL方法的δt/δtf~RSN曲线都在联合分辨理论下界曲线之上,而似然比检测器δt/δtf~RSN曲线与空时联合分辨下界曲线符合得很好. Aiming at space-time snapshots received by an array antenna, the method of space-time joint resolution limit (STJRL) is studied on the basis of statistic detection theory. It could be derived from minimum probability of error criterion that, in Gauss white noise context, the STJRL is approximated by a simple expression related to the signal to noise rate (SNR), the array manifold, the signal waveform and the resolution successive rate. The comparison of STJRL and 1-D resolution limit of traditional radar antenna indicates that space-time 2-D processing could achieve higher performance as it exploits two dimensional differences between target echoes. Through Monte Carlo simulation, the STJRL was also compared with the empirical performance of the Akaike information criterion (A/C) method and mimimun desc- ription length method (MDL). The results show that the curves of SNR versus δt/δtf obtained from AIC and MDL stay above the curve predicted by STJRL, and that the curve of SNR versus δt/δtf from likelihood ratio test (LRT) detector matches the theoretic STJRL curve well.
作者 陆顶洪 李阳
出处 《北京理工大学学报》 EI CAS CSCD 北大核心 2013年第2期203-207,共5页 Transactions of Beijing Institute of Technology
基金 国家自然科学基金资助项目(61001191)
关键词 不可分辨目标 空时联合分辨下界 假设检验 最小错误概率准则 unresolved targets space-time joint resolution limit hypothesis test minimum probability of error criterion
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